One-parameter Semigroups of Positive Operators

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Release : 2006-11-14
Genre : Mathematics
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Book Rating : 914/5 ( reviews)

One-parameter Semigroups of Positive Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook One-parameter Semigroups of Positive Operators write by Wolfgang Arendt. This book was released on 2006-11-14. One-parameter Semigroups of Positive Operators available in PDF, EPUB and Kindle.

Positive Operator Semigroups

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Release : 2017-02-13
Genre : Mathematics
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Book Rating : 136/5 ( reviews)

Positive Operator Semigroups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Positive Operator Semigroups write by András Bátkai. This book was released on 2017-02-13. Positive Operator Semigroups available in PDF, EPUB and Kindle. This book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications. Positivity is a property which naturally appears in physical, chemical, biological or economic processes. It adds a beautiful and far reaching mathematical structure to the dynamical systems and operators describing these processes. In the first part, the finite dimensional theory in a coordinate-free way is developed, which is difficult to find in literature. This is a good opportunity to present the main ideas of the Perron-Frobenius theory in a way which can be used in the infinite dimensional situation. Applications to graph matrices, age structured population models and economic models are discussed. The infinite dimensional theory of positive operator semigroups with their spectral and asymptotic theory is developed in the second part. Recent applications illustrate the theory, like population equations, neutron transport theory, delay equations or flows in networks. Each chapter is accompanied by a large set of exercises. An up-to-date bibliography and a detailed subject index help the interested reader. The book is intended primarily for graduate and master students. The finite dimensional part, however, can be followed by an advanced bachelor with a solid knowledge of linear algebra and calculus.

Positive Semigroups of Operators, and Applications

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 846/5 ( reviews)

Positive Semigroups of Operators, and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Positive Semigroups of Operators, and Applications write by O. Bratteli. This book was released on 2012-12-06. Positive Semigroups of Operators, and Applications available in PDF, EPUB and Kindle. This means that semigroup theory may be applied directly to the study of the equation I'!.f = h on M. In [45] Yau proves that, for h ~ 0, there are no nonconstant, nonnegative solutions f in [j' for 1

A Short Course on Operator Semigroups

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Release : 2006-06-06
Genre : Mathematics
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Book Rating : 419/5 ( reviews)

A Short Course on Operator Semigroups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Short Course on Operator Semigroups write by Klaus-Jochen Engel. This book was released on 2006-06-06. A Short Course on Operator Semigroups available in PDF, EPUB and Kindle. The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. The book is intended for students and researchers who want to become acquainted with the concept of semigroups.

Positive Operators and Semigroups on Banach Lattices

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Release : 2013-03-09
Genre : Mathematics
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Book Rating : 21X/5 ( reviews)

Positive Operators and Semigroups on Banach Lattices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Positive Operators and Semigroups on Banach Lattices write by C.B. Huijsmans. This book was released on 2013-03-09. Positive Operators and Semigroups on Banach Lattices available in PDF, EPUB and Kindle. During the last twenty-five years, the development of the theory of Banach lattices has stimulated new directions of research in the theory of positive operators and the theory of semigroups of positive operators. In particular, the recent investigations in the structure of the lattice ordered (Banach) algebra of the order bounded operators of a Banach lattice have led to many important results in the spectral theory of positive operators. The contributions contained in this volume were presented as lectures at a conference organized by the Caribbean Mathematics Foundation, and provide an overview of the present state of development of various areas of the theory of positive operators and their spectral properties. This book will be of interest to analysts whose work involves positive matrices and positive operators.